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Finding the Fourth Proportional to 12,314.62, 16,999.77 and 7,844.50

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Solution

The fourth proportional to 12,314.62, 16,999.77 and 7,844.50 is: 10,828.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,314.62 : 16,999.77 = 7,844.50 : x
  2. Step 2: Convert to fraction form
    12,314.62/16,999.77 = 7,844.50/x
  3. Step 3: Cross multiply
    12,314.62x = 16,999.77 × 7,844.50
  4. Step 4: Simplify right side
    12,314.62x = 133,354,695.77
  5. Step 5: Solve for x
    x = 133,354,695.77/12,314.62
  6. Step 6: Final answer
    x = 10,828.97

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.